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Simplifying (6x + -11)(x + 2) = 0 Reorder the terms: (-11 + 6x)(x + 2) = 0 Reorder the terms: (-11 + 6x)(2 + x) = 0 Multiply (-11 + 6x) * (2 + x) (-11(2 + x) + 6x * (2 + x)) = 0 ((2 * -11 + x * -11) + 6x * (2 + x)) = 0 ((-22 + -11x) + 6x * (2 + x)) = 0 (-22 + -11x + (2 * 6x + x * 6x)) = 0 (-22 + -11x + (12x + 6x2)) = 0 Combine like terms: -11x + 12x = 1x (-22 + 1x + 6x2) = 0 Solving -22 + 1x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(11 + -6x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333Solution
x = {-2, 1.833333333}
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